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3. The stress function suggested for a solid bar subjected to torques at its free ends...
3.A solid steel shaft (see Figure Q3) free at the ends has a diameter of 25...
3.A solid steel shaft (see Figure Q3) free at the ends has a diameter of 25 mm. LBc 500mm and Lco 250mm. The torques experienced by the shaft are T1 300Nm T2 = 550Nm and T3 = 250Nm. The modulus of rigidity of the material is G- 100GPa BC CD Figure Q3 a) Find the values of the internal torques TBc and Tco taking the anticlockwise direction as positive b) What is the maximum shear stress experienced by the shaft?...
The splined ends and gears attached to the A992 steel shaft are subjected to the torques...
The splined ends and gears attached to the A992 steel shaft are subjected to the torques shown. If the shaft has a diameter of 40 mm. [10 marks) a-Draw the torque diagram. [2 marks] b-Determine the angle of twist of end B with respect to end A. [3 marks] C- Determine the maximum shear stress the shaft is subjected to. [2 marks] d- If the allowable shear stress in the shaft is 300 MPa, and the allowable angle of twist...
The splined ends and gears attached to the A992 steel shaft are subjected to the torques...
The splined ends and gears attached to the A992 steel shaft are subjected to the torques shown. If the shaft has a diameter of 40 mm. [10 marks] a-Draw the torque diagram. [2 marks] b-Determine the angle of twist of end B with respect to end A. [3 marks] C- Determine the maximum shear stress the shaft is subjected to. [2 marks] d- If the allowable shear stress in the shaft is 300 MPa, and the allowable angle of twist...
The cantilever beam shown in the figure is subjected to a distributed shear stress oon the upper face. The following Airy stress function is proposed for this problem Determine the constants c and fi...
The cantilever beam shown in the figure is subjected to a distributed shear stress oon the upper face. The following Airy stress function is proposed for this problem Determine the constants c and find the stress distribution in the beam. Use resultant force boundary conditions at the ends. (Answer: C1-ToC/12/, С2-Tp/201.c3- -to/24cl,...) TOXI Suggested process is as follows: (a) Write out the boundary conditions using St. Venant's principle for the semi-inverse (b) Write the stress field corresponding to the Airy...
8.5-3 A solid circular bar is fixed at point A. The bar is subjected to transverse...
8.5-3 A solid circular bar is fixed at point A. The bar is subjected to transverse load V-701b and torque T-300 lb-in. at point B. The bar has a length L 60 in. and diameter d - 3 in. Calculate the prin- cipal normal stresses and the maximum shear stress at element 1 located on the bottom surface of the bar at fixed end A (see figure) Assume that element 1 is a sufficient distance from support A so that...
1.- The shaft AD shown in the figure will be subjected to the different torques at...
1.- The shaft AD shown in the figure will be subjected to the different torques at each pulley. Instead of using solid shafts, it is proposed to use hollow shafts where the diameter of the inner hole is 0.3 in for each section. Given these conditions: 1200 lb in. o lb- in. CD 0.9 dBc 0.75 in. a) Draw the torsion moment diagram for shaft AD. 5 points. dAB 0.6 in b) Find the magnitude and location of the maximum...
The composite bar is firmly fixed at both ends. The bar is stress-free at 60°F Compute the stress in each material after the 50-kip force 42 in is applied and the temperature is increased to 120°...
The composite bar is firmly fixed at both ends. The bar is stress-free at 60°F Compute the stress in each material after the 50-kip force 42 in is applied and the temperature is increased to 120°F. Use α-6.5 x 10-6/°F for steel and α-1 2.8 x 10-6/°F for aluminum. At what temperature will the aluminum and steel have stresses of equal magnitude after the 50-kip force is applied? Problem 4(25 Points) The rigid bar ABCD is supported by a pin...
9.3-11 A circular tube of aluminum is subjected to torsion by torques T applied at the...
9.3-11 A circular tube of aluminum is subjected to torsion by torques T applied at the ends (see figure). The bar is 24 in. long, and the inside and outside diameters are 1.25 in. and 1.75 in., respectively. It is determined by measurement that the angle of twist is 4° when the torque is 6200 lb-in. (a) Calculate the maximum shear stress Tmax in the tube, the shear modulus of elasticity G, and the maximum shear strain y max (in...
A L-Shaped solid bar of 50-mm diameter is subjected to a 13 kN force as shown below
A L-Shaped solid bar of 50-mm diameter is subjected to a 13 kN force as shown below. At point H (a)Determine the state of stresses and show the results on a stress-element. (b)Determine the Principal stresses, the principal planes and the maximum shear stress
3. A rod is made from two segments: AB is steel and BC is brass. It is fixed at its ends and subjected to two torqu...
3. A rod is made from two segments: AB is steel and BC is brass. It is fixed at its ends and subjected to two torques as shown in the figure. The steel portion has a diameter of dAN-30mm. The brass portion a diameter of dac-60mm. GAB-75GPa, GBC-37.5GPa. (1) Determine the support reaction at A and C. (2) Draw the stress distribution on a volume element at point E. (You don't need to know between D and E. The location...
3.A solid steel shaft (see Figure Q3) free at the ends has a diameter of 25 mm. LBc 500mm and Lco 250mm. The torques experienced by the shaft are T1 300Nm T2 = 550Nm and T3 = 250Nm. The modulus of rigidity of the material is G- 100GPa BC CD Figure Q3 a) Find the values of the internal torques TBc and Tco taking the anticlockwise direction as positive b) What is the maximum shear stress experienced by the shaft?...
The splined ends and gears attached to the A992 steel shaft are subjected to the torques shown. If the shaft has a diameter of 40 mm. [10 marks) a-Draw the torque diagram. [2 marks] b-Determine the angle of twist of end B with respect to end A. [3 marks] C- Determine the maximum shear stress the shaft is subjected to. [2 marks] d- If the allowable shear stress in the shaft is 300 MPa, and the allowable angle of twist...
The splined ends and gears attached to the A992 steel shaft are subjected to the torques shown. If the shaft has a diameter of 40 mm. [10 marks] a-Draw the torque diagram. [2 marks] b-Determine the angle of twist of end B with respect to end A. [3 marks] C- Determine the maximum shear stress the shaft is subjected to. [2 marks] d- If the allowable shear stress in the shaft is 300 MPa, and the allowable angle of twist...
The cantilever beam shown in the figure is subjected to a distributed shear stress oon the upper face. The following Airy stress function is proposed for this problem Determine the constants c and find the stress distribution in the beam. Use resultant force boundary conditions at the ends. (Answer: C1-ToC/12/, С2-Tp/201.c3- -to/24cl,...) TOXI Suggested process is as follows: (a) Write out the boundary conditions using St. Venant's principle for the semi-inverse (b) Write the stress field corresponding to the Airy...
8.5-3 A solid circular bar is fixed at point A. The bar is subjected to transverse load V-701b and torque T-300 lb-in. at point B. The bar has a length L 60 in. and diameter d - 3 in. Calculate the prin- cipal normal stresses and the maximum shear stress at element 1 located on the bottom surface of the bar at fixed end A (see figure) Assume that element 1 is a sufficient distance from support A so that...
1.- The shaft AD shown in the figure will be subjected to the different torques at each pulley. Instead of using solid shafts, it is proposed to use hollow shafts where the diameter of the inner hole is 0.3 in for each section. Given these conditions: 1200 lb in. o lb- in. CD 0.9 dBc 0.75 in. a) Draw the torsion moment diagram for shaft AD. 5 points. dAB 0.6 in b) Find the magnitude and location of the maximum...
The composite bar is firmly fixed at both ends. The bar is stress-free at 60°F Compute the stress in each material after the 50-kip force 42 in is applied and the temperature is increased to 120°F. Use α-6.5 x 10-6/°F for steel and α-1 2.8 x 10-6/°F for aluminum. At what temperature will the aluminum and steel have stresses of equal magnitude after the 50-kip force is applied? Problem 4(25 Points) The rigid bar ABCD is supported by a pin...
9.3-11 A circular tube of aluminum is subjected to torsion by torques T applied at the ends (see figure). The bar is 24 in. long, and the inside and outside diameters are 1.25 in. and 1.75 in., respectively. It is determined by measurement that the angle of twist is 4° when the torque is 6200 lb-in. (a) Calculate the maximum shear stress Tmax in the tube, the shear modulus of elasticity G, and the maximum shear strain y max (in...
3. A rod is made from two segments: AB is steel and BC is brass. It is fixed at its ends and subjected to two torques as shown in the figure. The steel portion has a diameter of dAN-30mm. The brass portion a diameter of dac-60mm. GAB-75GPa, GBC-37.5GPa. (1) Determine the support reaction at A and C. (2) Draw the stress distribution on a volume element at point E. (You don't need to know between D and E. The location...
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